sin 20 + cos 20 = cot x tan x

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: Find the average value f of the function f on the given interval. ave f(x) = /x, [0, 25] fave

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Q: cos° Vx dx x CsC csc Va

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Q: Glven the functions below, find dy/dx using CHAIN RULE. 2 y = 4t +1 ; ; x t = 3w + 4 5w - 2 Using th...

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Q: The accompanying table shows the velocity of a model train engine moving along a track for 10 second...

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Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: Integration by parts. cos?x –dx sin4x

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Q: 1. dx てナメてナて

A: We have to evaluate the integral

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Q: — 3 6 -4х + 10у 2x – 5y = 3

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Q: 1. (Based on 7.6.33. from the book) The method of carbon dating makes use of the fact that all livin...

A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C    

Q: Write the first five terms of the sequence: 13 ln n n n=1 Determine whether the sequence converges, ...

A: Given

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Factor the difference an+1 a, to show that the given sequence {an} is strictly increasing or strictl...

A: an+1= (n+1)/(16(n+1) +9)        = (n+1)/(16n + 25) an  = n/(16n+9) an+1 - an =(n+1)/(16n + 25) - n/(...

Q: 3. The sides of a triangle are given as 3x, x+1 and 3x-1. If the perimeter is 56 ft, find the area. ...

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Q: | sin 2x cos7x dx

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Q: Find the equation of the tangent and normal line to the following curves at a given specified point....

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Q: y2)dx = xdy when X2 ; Y- 3

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Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: 2. x cosh x? sinh x2 dx

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Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: DIFFERENTIAL EQUATIONS Solve using variation of parameters or reduction of order Show your step-by-s...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: sec(Vx) tan(Vx) dx

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Q: 2t es the given condition; r' (t) =i+ te-t"j - =k;r(0) = i %3D t2+1 Vt2+4

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Q: The function f is shown below. What is the value of | f(x) dx? Write your -4 answer in simplest form...

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Q: Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: 13. Find the solution set of |6x – 13x – 5|| 2x b) 14x – 1| 2 12x + 3| + 1 c) |2x? – 3x – 4|< 5

A: In this question we will use formula |A|= x.  A= -x  Or A= x        

Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1

Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: In November 2021, the stock price for an Apple Inc has increased from $131 to $148 per share and Ama...

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Q: True or false? The function f(x, y) is continuous at x2 + y? the origin. True O False

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Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: about the y-axis

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Q: sin x 5 2 0, cos x

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Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box b...

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Q: .3 dx J Tx²+9 .2

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Q: Compute the limit of the nth term and use it to explain why the series is divergent. +00 2" – 1 2 2n...

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

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Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 met...

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Q: Determine the integrating factor of the following non-exact differential equations

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Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: Use sigma notation to write the Taylor series about I = 6 for the function. 1 Σ

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Q: Given the functions below, find B. (P +Q+R+M+ N) u= 4- Vw +1 du Pw + Qw +3+R/w? +1 u" or dw 9u" (w +...

A: I am attaching image so that you understand each and every step.

Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...